Question

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

2 similar right triangles. Triangle 1 has side length 8, hypotenuse 10, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side.
a.
StartFraction 4 Over 10 EndFraction = StartFraction 5 Over 8 EndFraction = two-fifths
b.
StartFraction 4 Over 8 EndFraction = StartFraction 5 Over 10 EndFraction = one-half
c.
StartFraction 10 Over 4 EndFraction = StartFraction 8 Over 5 EndFraction = Five-halves
d.
StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 10 EndFraction = four-fifths

Answer 1

b

Explanation:

Answer 2

B.

Explanation:

If the given right triangles are similar, that meanst they have a ration in common, that is, one of them can be double size the other one. In other words, they are related by a scale ratio.

Notice, that one hypothenuse is double the other one, that is, 10 is double than 5. Also, 8 is double than 4. This means the scale factor is 2, one triangle has double size than the other.

Therefore, the proportion that relates these triangles is

`(10)/(5) =(8)/(4)=2`

or

`(4)/(8)=(5)/(10)=(1)/(2)`

Therefore, the right answer is B.